Element X is a radioactive isotope such that every 22 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how long
would it be until the mass of the sample reached 41 grams, to the nearest tenth of a
year?

Answers

Answer 1

Answer: The time taken for the mass to reduce from 50 g to 41 g is 6 years

Step-by-step explanation:

Expression for rate law for first order kinetics is given by

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]t_{\frac{1}{2}}=22 years[/tex]

[tex]k=\frac{0.693}{t_{\frac{1}{2}}}=\frac{0.693}{22}=0.0315years^{-1}[/tex]  

b) for mass to reduce from 50 g to 41 g

[tex]t=\frac{2.303}{0.0315}\log\frac{50}{41}[/tex]

[tex]t=6years[/tex]  

The time taken for the mass to reduce from 50 g to 41 g is 6 years


Related Questions

10. The length of the radius of a bicycle wheel is 14 inches. Which of the following is closest to the circumference of the wheel?
A. 44 in.
B. 615 in.
C. 88 in.
D. 154 in

Answers

Answer:

the answer is "a"

Step-by-step explanation:

Answer:

C. 88

Step-by-step explanation:

To find circumference you use the formula πd.

The diameter is 28, so 3.14x28.

This equals 87.92.

The closest one to 87.92 is 88.

This, the answer is C.88.

Hope this helped!!

what is (2m+7)+(4d+6)

Answers

Answer:

4d+2m+13

Step-by-step explanation:


NEED HELP!

Will be grateful

Answers

Answer:

p = -1/5

Step-by-step explanation:

-5p + -15/5 = -4

-5p -3 = -4

-5p = -4 +3

-5p = -1

p = -1/5

Answer:

p = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Given

- 5 (p + [tex]\frac{3}{5}[/tex] ) = - 4 ← distribute parenthesis on left side by - 5

- 5p - 3 = - 4 ( add 3 to both sides )

- 5p = - 1 ( divide both sides by - 5 )

p = [tex]\frac{1}{5}[/tex]

i need the answers por favor

Answers

Pro favor means please

can anyone help for good luck

Answers

Answer:

Step-by-step explanation:

what is the distance between points (3,-5) and (-8,3) on the coordinate plane?

Answers

Answer:

1. 8

2. 11

for the first one its 8 and the second one is 11

7 t-shirts and a hat costs £67.00
5 t-shirts and a hat costs £49.00.
How much does a t-shirt cost?
How much does a hat cost?
pls help need it asap
20 points and a brainlist if you can explain

Answers

Answer:

£9.00

Step-by-step explanation:

67.00-49.00 = 18.00÷2 = 9.00

Let's Try:

a) 9.00×7 = 63.00+4.00(hat) = 67.00

b) 9.00×5 = 45.00+4.00(hat) = 49.00

Answer:

tshirt equals £9

and hat equals £4

Step-by-step explanation:

7t + h = 67

5t +h  = 49      subtract bottom eq from top

 

2t = 18      t = 9

 

5(t) + h = 49

5(9) + h = 49

45 + h = 49

h = 4                  

solve square root of x+1 =4

Answers

Answer:

3

Step-by-step explanation:

4 - 1 = 3

whats the y-intercept

Answers

Answer:

2

Step-by-step explanation:

the y-intercept is where the line meets the y-axis

y intercept would be (0,2)

On a map of Volleytown, a scale of 1 centimeter = 50 kilometers is used. If the actual distance from Setter Street to Spike Street is 75 kilometers, how far apart should the two streets be on the map?
a
2 cm
b
1.5 cm
c
3,750 cm
d
1 cm

Answers

The answer= 1.5 cm
Scale=1:50
75/50

0.6y=1.8
Please help!

Answers

Answer:

Y= 3

Step-by-step explanation:

1.8/ 0.6=3

Answer:

y=3

Step-by-step explanation:

divide both sides by 0.6

0.6y/0.6 = 1.8/0.6

which sould equal y=3

What is 1.4x - (6.5x)

Answers

Answer: -5.1x

Step-by-step explanation: Distribute the negative to the 6.5x, and then subtract that from 1.4x. Your answer is -5.1x.

Answer:

I think it is -4.85 x Thst is just what I think

help please i will give brainlest

Answers

Answer:

perimeter of quadrant circle=1/4×pi×radius

""""" =1/4×3.14×10

perimeter of quadrant circle= 7.85cm

e

Answer:

[tex]5\pi[/tex]

Step-by-step explanation:

Circle perimeter: 2[tex]\pi[/tex]r

You get [tex]\frac{1}{4}[/tex] of circle perimeter

So: Circle perimeter = 2*[tex]\pi[/tex]*10=20[tex]\pi[/tex]

and:  [tex]\frac{20\pi }{4}=5\pi[/tex]

Qual o valor de Pi ?

Answers

Hello my friend.

The Pi value is approximately equal to 3.14.

I hope I have helped a lot.


what is the perimeter of EFG?? NEED HELP ADAP

Answers

Answer:

78 cm

Perimeter = 12 x 3 + 9 x 3 + 15 = 36 + 27 + 15 = 78 cm

Hope that helps!

Answer:

Try 78

Step-by-step explanation:

EF is just AB times three. Assume you use the same scale factor for all side you get GE as 27 and GF as 36.

What is the perimeter of ABCD?
Perimeter=

Answers

the perimeter is 10 +10+9+9 so its 38

Answer:

38

Step-by-step explanation:

The value of the computer decrease exceptionally throughout the five-year period. What was the average annual amount of decrease (in dollars per year) over the two-year interval from t= 2 to t= 4?

Answers

Answer:

Step-by-step explanation:

C grd. Gr

Jughead now earns $10.50 per hour. This is 175% of what he earned last year. How much did he earn last year?​

Answers

Answer:

10.5/175*100=6

Step-by-step explanation:

What is the measurement, in degrees, of angle 1?

Answers

Answer:

180 - 55 = angle 1

80 - 55 = 25 so 180 - 55 = 125

angle 1 = 125 degrees

What is the area of the polygon given below?

Answers

Answer:

I dont see it

Step-by-step explanation:

Answer:

There needs to be a picture.

Step-by-step explanation:

203,245,237,233,90,100,100,277,265,264,265,285,288,291,
291,290,300,224,200,257,290,279,266,288 What is the mean?

Answers

Answer:

243

Step-by-step explanation:

im so happy

Write an Equivalent Expression for Each Expression.
1/4(2x-8)+5x

Answers

Answer:

11/2x-2

Step-by-step explanation:

1/4(2x-8)+5x

2/4x-8/4+5x

1/2x-2+5x

1/2x+5x-2

1/2x+10/2x-2

11/2x-2

TRUE OR FALSE (i really don't know what the right answer is i was hoping anyone else would know)

these number are balanced (numbers in photo)

A) true

B) false

Answers

I think the answer is a

I think it's A

Step-by-step explanation:

true

Find the term of the following arithmetic sequence. 15,22 , 29 , 36 ,

Answers

Answer:

The sequence can be continued by adding 7 to each number.

Step-by-step explanation:

15 + 7 = 22

22 + 7 = 29

29 + 7 = 36

36 + 7 =...... 43 would be your next number

What’s the answer to this??? need to know!?

Answers

Answer:

C/3

Step-by-step explanation:

What is the final price (before sales tax) for a set of golf clubs that cost $800 if they are on sale for 30% off?

A. $730
B. $770
C. $660
D. $560​

Answers

Answer:

D. $560

Step-by-step explanation:

800 x .3 equals 240.

800 minus 240 gives you 560

Mark me as brainliest if this helps!

Give an example of a dependent event.

Answers

Answer:

Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed. Example : Suppose we have 5 blue marbles and 5 red marbles in a bag. We pull out one marble, which may be blue or red.

Step-by-step explanation:

Answer:

The dependent event about math is when the wind come, your plant dependent it's weight to let itself not get fly away.

Write the equation of the line in fully simplified slope-intercept form.
ਪੂ
11
NAUa006 5 5
1
-12-11-10-9-8-7-6-5-4-3-2-1,
1 2 3 4 5 6 7 8 9 10 11 12
-3
-4
-5
-6
-7
-8
-10
-12

Answers

Answer:

The slope of this line will be y=-3/4x+3

Step-by-step explanation:

Hope this Helped

Write a slope intercept equation for the following table can someone help

Answers

Answer:

y=2.5x+3

Step-by-step explanation:

(0,3) shows the y-intercept of +3

Use slope formula to find the slope:

8-5.5/2-1 = 2.5

therefore the M (slope) is 2.5

Answer:

y = 2.5x + 3

Step-by-step explanation:

y2 - y1/x2 - x1 = slope

5.5 - 3 = 2.5

2 - 1 = 1

2.5/1 = 2.5

8 = 2.5(2) +b

8 = 5 + b = 3

Help me what is it brain lit who gets right

Answers

Answer:

179.76

Step-by-step explanation:

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